Search a number
-
+
223010200100 = 225229594392969
BaseRepresentation
bin1100111110110001110…
…0011001101000100100
3210022121222000221222202
43033230130121220210
512123211102400400
6250241030314032
722053254265332
oct3175434315044
9708558027882
10223010200100
118663a4980a6
12372797b8918
131805053ccac
14ab180a6b52
155c035eb4d5
hex33ec719a24

223010200100 has 144 divisors (see below), whose sum is σ = 510436080000. Its totient is φ = 84446960640.

The previous prime is 223010200087. The next prime is 223010200109. The reversal of 223010200100 is 1002010322.

It is a happy number.

223010200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (223010200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75111416 + ... + 75114384.

It is an arithmetic number, because the mean of its divisors is an integer number (3544695000).

Almost surely, 2223010200100 is an apocalyptic number.

223010200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223010200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255218040000).

223010200100 is an abundant number, since it is smaller than the sum of its proper divisors (287425879900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223010200100 is a wasteful number, since it uses less digits than its factorization.

223010200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 223010200100 its reverse (1002010322), we get a palindrome (224012210422).

The spelling of 223010200100 in words is "two hundred twenty-three billion, ten million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 59 100 116 118 145 236 290 295 439 580 590 725 878 1180 1450 1475 1711 1756 2195 2900 2950 2969 3422 4390 5900 5938 6844 8555 8780 10975 11876 12731 14845 17110 21950 25462 25901 29690 34220 42775 43900 50924 51802 59380 63655 74225 85550 86101 103604 127310 129505 148450 171100 172202 175171 254620 259010 296900 318275 344404 350342 430505 518020 636550 647525 700684 751129 861010 875855 1273100 1295050 1303391 1502258 1722020 1751710 2152525 2590100 2606782 3004516 3503420 3755645 4305050 4379275 5079959 5213564 6516955 7511290 8610100 8758550 10159918 13033910 15022580 17517100 18778225 20319836 25399795 26067820 32584775 37556450 37798339 50799590 65169550 75112900 75596678 76900069 101599180 126998975 130339100 151193356 153800138 188991695 253997950 307600276 377983390 384500345 507995900 755966780 769000690 944958475 1538001380 1889916950 1922501725 2230102001 3779833900 3845003450 4460204002 7690006900 8920408004 11150510005 22301020010 44602040020 55752550025 111505100050 223010200100